Somebody please show me how to get to the answer key for this question.I have been stuck at this question for days.
Two black holes (the remains of exploded stars), separated by a distance of
10.0 AU(1 AU = 1.50 ✕ 10^11 m),
attract one another with a gravitational force of
7.30 ✕ 10^25 N.
The combined mass of the two black holes is 6.00 ✕ 10^30 kg.
What is the mass of each black hole?
largest value kg
smallest value kg
the answer key for the largest value is 5.56*10^30kg and for smallest value is 4.43*10^29kg
f = G * M1 * M2 / r^2
7.30E25 = 6.67E-11 * M1 * M2 / 1.50E12^2
solve for (M1 * M2)
M1 + M2 = 6.00E30
substitute to find M1 and M2